3486749693856 has 768 divisors, whose sum is σ = 12158628249600. Its totient is φ = 857648332800.

The previous prime is 3486749693849. The next prime is 3486749693857. The reversal of 3486749693856 is 6583969476843.

3486749693856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (3486749693857) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209796715 + ... + 209813333.

It is an arithmetic number, because the mean of its divisors is an integer number (15831547200).

Almost surely, 2^{3486749693856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486749693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079314124800).

3486749693856 is an abundant number, since it is smaller than the sum of its proper divisors (8671878555744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3486749693856 is a wasteful number, since it uses less digits than its factorization.

3486749693856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16733 (or 16725 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 78.

The spelling of 3486749693856 in words is "three trillion, four hundred eighty-six billion, seven hundred forty-nine million, six hundred ninety-three thousand, eight hundred fifty-six".